An improved direct-forcing immersed-boundary method for finite difference applications

  • Authors:

  • N. Zhang;Z. C. Zheng

  • Affiliations:

  • Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, KS 66506-5205, USA;Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, KS 66506-5205, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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Abstract

A modified immersed-boundary method is developed using the direct-forcing concept. An improved bilinear interpolation/extrapolation algorithm is implemented for more accurate boundary forcing expressions and easier implementation. Detailed discussions of the method are presented on the stability, velocity interpolation on the immersed boundary, direct-forcing extrapolation to the grid points, resolution of the immersed boundary points, and internal treatment. The method can achieve second-order accurate solutions. The method is then applied to a finite-difference scheme to compute flow over a stationary cylinder, an oscillating cylinder, and a stationary sphere. The accuracy of the computational results is verified using numerous computational and experimental results in the literature.